Question

solve for the missing angles in the two diagrams below. solve for t. for each question, write either corresponding or not corresponding on the line.

Explanation:

Step1: Identify angle - relationship for \(x\)

The two lines are parallel and \(x\) and the \(83^{\circ}\) angle are corresponding angles. So \(x = 83^{\circ}\).

Step2: Identify angle - relationship for \(t\)

The \(100^{\circ}\) angle and \(t\) are corresponding angles. So \(t=100^{\circ}\).

Step3: Determine corresponding angles in (1)

The angles are in the same relative position with respect to the transversal and parallel - like lines. So they are corresponding.

Step4: Determine corresponding angles in (2)

The angles are in the same relative position with respect to the transversal and parallel - like lines. So they are corresponding.

Step5: Determine corresponding angles in (3)

The angles are in the same relative position with respect to the transversal and parallel - like lines. So they are corresponding.

Step6: Determine corresponding angles in (4)

The angles are not in the same relative position with respect to the transversal and lines. So they are not corresponding.

Answer:

\(x = 83^{\circ}\), \(t = 100^{\circ}\)
(1) corresponding
(2) corresponding
(3) corresponding
(4) not corresponding